// Numbas version: finer_feedback_settings
{"name": "Antiderivatives", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"scripts": {}, "checkingaccuracy": 0.001, "showpreview": true, "checkingtype": "absdiff", "showCorrectAnswer": true, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "prompt": "<p>$f(x) = \\var{a}x - \\var{b}$</p>", "marks": 1, "expectedvariablenames": [], "type": "jme", "answer": "{a}x^2/2-{b}x+C", "vsetrange": [0, 1], "checkvariablenames": false, "showFeedbackIcon": true}, {"scripts": {}, "checkingaccuracy": 0.001, "showpreview": true, "checkingtype": "absdiff", "showCorrectAnswer": true, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "prompt": "<p>$f(x) = \\frac{1}{\\var{c}}+ \\frac{2}{\\var{d}}x^2 - \\frac{3}{\\var{f}}x^3$</p>", "marks": 1, "expectedvariablenames": [], "type": "jme", "answer": "1/{c}x+2/(3{d})x^3-3x^4/(4{f})+C", "vsetrange": [0, 1], "checkvariablenames": false, "showFeedbackIcon": true}, {"scripts": {}, "checkingaccuracy": 0.001, "showpreview": true, "checkingtype": "absdiff", "showCorrectAnswer": true, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "prompt": "<p>$f(x) = e^\\var{g}$</p>", "marks": 1, "expectedvariablenames": [], "type": "jme", "answer": "e^{g}x+C", "vsetrange": [0, 1], "checkvariablenames": false, "showFeedbackIcon": true}, {"scripts": {}, "checkingaccuracy": 0.001, "showpreview": true, "checkingtype": "absdiff", "showCorrectAnswer": true, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "prompt": "<p>$f(x) = e^{\\var{g}x}$</p>", "marks": 1, "expectedvariablenames": [], "type": "jme", "answer": "e^({g}x)/{g}+C", "vsetrange": [0, 1], "checkvariablenames": false, "showFeedbackIcon": true}], "variablesTest": {"maxRuns": 100, "condition": ""}, "name": "Antiderivatives", "variables": {"f": {"description": "", "group": "Ungrouped variables", "definition": "random(4,5,7,8)", "templateType": "anything", "name": "f"}, "c": {"description": "", "group": "Ungrouped variables", "definition": "random(2..4)", "templateType": "anything", "name": "c"}, "d": {"description": "", "group": "Ungrouped variables", "definition": "random(3,5,7)", "templateType": "anything", "name": "d"}, "g": {"description": "", "group": "Ungrouped variables", "definition": "random(2..5)", "templateType": "anything", "name": "g"}, "a": {"description": "", "group": "Ungrouped variables", "definition": "2*random(2..4)", "templateType": "anything", "name": "a"}, "b": {"description": "", "group": "Ungrouped variables", "definition": "random(1..9 except a)", "templateType": "anything", "name": "b"}}, "metadata": {"description": "<p>Antiderivatives</p>\n<p>rebel&nbsp;</p>\n<p>rebelmaths</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Find the most general antiderivatives of the functions. Use the letter C to represent an unknown constant.&nbsp;</p>", "preamble": {"js": "", "css": ""}, "extensions": [], "advice": "<p>Don't forget to include the unknown constant C.</p>", "rulesets": {}, "variable_groups": [], "ungrouped_variables": ["a", "c", "b", "d", "g", "f"], "tags": ["Rebel", "REBEL", "rebel", "rebelmaths"], "functions": {}, "type": "question", "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}]}]}], "contributors": [{"name": "TEAME UCC", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/351/"}]}